Question

If log3= 0.4771, then find the number of digits in `3^(100)`
A. 47
B. 48
C. 49
D. 50

Answer 1

Correct Answer - B
` Let x= 3^(100) `
` Rightarrow log x= log3^(100)`
` Rightarrow log x = 100 log3`
` Rightarrow x = 100 ( 0.4771)`
` log x = 47.71`
` log x= 47.71`
The characteristic is 47
The number of digits in `3^(100) " is " 48`